Which of the following is a possible measure of the area if a square rug whose dimensions are in whole feet?
18
24
36
48
36
To determine the possible measure of the area of a square rug with dimensions in whole feet, we need to calculate the square of each given number and check if it yields a whole number.
Let's calculate the squares of the given numbers:
1. 18 * 18 = 324
2. 24 * 24 = 576
3. 36 * 36 = 1296
4. 48 * 48 = 2304
Now, by examining the results, we can see that 324, 576, 1296, and 2304 are all whole numbers (as they don't have any decimal places).
Therefore, the possible measures of the area of a square rug with dimensions in whole feet could be 324, 576, 1296, or 2304.
To find the area of a square rug, you need to multiply the length of one side by itself. So, the possible measures of the area for a square rug in whole feet can be calculated using the given dimensions. Let's calculate the areas for each option:
1) For the rug with dimensions 18 feet:
Area = 18 feet * 18 feet = 324 square feet.
2) For the rug with dimensions 24 feet:
Area = 24 feet * 24 feet = 576 square feet.
3) For the rug with dimensions 36 feet:
Area = 36 feet * 36 feet = 1296 square feet.
4) For the rug with dimensions 48 feet:
Area = 48 feet * 48 feet = 2304 square feet.
Therefore, the possible measures of the area for a square rug in whole feet could be 324, 576, 1296, and 2304 square feet.